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Finding the Fourth Proportional to 2,753.92, 3,810.26 and 2,405.62

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Solution

The fourth proportional to 2,753.92, 3,810.26 and 2,405.62 is: 3,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.92 : 3,810.26 = 2,405.62 : x
  2. Step 2: Convert to fraction form
    2,753.92/3,810.26 = 2,405.62/x
  3. Step 3: Cross multiply
    2,753.92x = 3,810.26 × 2,405.62
  4. Step 4: Simplify right side
    2,753.92x = 9,166,037.66
  5. Step 5: Solve for x
    x = 9,166,037.66/2,753.92
  6. Step 6: Final answer
    x = 3,328.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.